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Verifications of primal energy identities for variational problems with obstacles
We discuss error identities for two classes of free boundary problems
generated by obstacles. The identities suggest true forms of the respective
error measures which consist of two parts: standard energy norm and a certain
nonlinear measure. The latter measure controls (in a weak sense) approximation
of free boundaries. Numerical tests confirm sharpness of error identities and
show that in different examples one or another part of the error measure may be
dominant.Comment: 8 pages, 2 figures, conference paper: LSSC (Large-Scale scientific
computing), Sozopol, Bulgaria, 2017. The final version will be published at
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